Topological Solitons (Cambridge Monographs on Mathematical Physics)
Cambridge University Press
Edition: Illustrated, 6/10/2004
EAN 9780521838368, ISBN10: 0521838363
Hardcover, 506 pages, 25.4 x 18.3 x 3.3 cm
Language: English
Topological solitons occur in many nonlinear classical field theories. They are stable, particle-like objects, with finite mass and a smooth structure. Examples are monopoles and Skyrmions, Ginzburg-Landau vortices and sigma-model lumps, and Yang-Mills instantons. This book is a comprehensive survey of static topological solitons and their dynamical interactions. Particular emphasis is placed on the solitons which satisfy first-order Bogomolny equations. For these, the soliton dynamics can be investigated by finding the geodesics on the moduli space of static multi-soliton solutions. Remarkable scattering processes can be understood this way. The book starts with an introduction to classical field theory, and a survey of several mathematical techniques useful for understanding many types of topological soliton. Subsequent chapters explore key examples of solitons in one, two, three and four dimensions. The final chapter discusses the unstable sphaleron solutions which exist in several field theories.
Preface
1. Introduction
2. Lagrangians and fields
3. Topology in field theory
4. Solitons - general theory
5. Kinks
6. Lumps and rational maps
7. Vortices
8. Monopoles
9. Skyrmions
10. Instantons
11. Saddle points - sphalerons
References
Index.
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